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Finding the Fourth Proportional to 9,968.29, 13,756.30 and 5,492.00

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Solution

The fourth proportional to 9,968.29, 13,756.30 and 5,492.00 is: 7,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.29 : 13,756.30 = 5,492.00 : x
  2. Step 2: Convert to fraction form
    9,968.29/13,756.30 = 5,492.00/x
  3. Step 3: Cross multiply
    9,968.29x = 13,756.30 × 5,492.00
  4. Step 4: Simplify right side
    9,968.29x = 75,549,620.26
  5. Step 5: Solve for x
    x = 75,549,620.26/9,968.29
  6. Step 6: Final answer
    x = 7,579.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.